22142113422000 has 640 divisors, whose sum is σ = 85287931223040. Its totient is φ = 4870886400000.

The previous prime is 22142113421863. The next prime is 22142113422031. The reversal of 22142113422000 is 22431124122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 50403300 + ... + 50840700.

It is an arithmetic number, because the mean of its divisors is an integer number (133262392536).

Almost surely, 2^{22142113422000} is an apocalyptic number.

22142113422000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22142113422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42643965611520).

22142113422000 is an abundant number, since it is smaller than the sum of its proper divisors (63145817801040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22142113422000 is a wasteful number, since it uses less digits than its factorization.

22142113422000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437510 (or 437494 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 22142113422000 its reverse (22431124122), we get a palindrome (22164544546122).

The spelling of 22142113422000 in words is "twenty-two trillion, one hundred forty-two billion, one hundred thirteen million, four hundred twenty-two thousand".